On lightlike geometry of indefinite Sasakian statistical manifolds

In the present study, the concept of Sasakian statistical manifold has been generalized to indefinite Sasakian statistical manifolds. We also introduce lightlike hypersurfaces of an indefinite Sasakian statistical manifold and establish relations between induced geometrical objects with respect to dual connections. Finally, invariant lightlike submanifold of indefinite Sasakian statistical manifold is proved to be an indefinite Sasakian statistical manifold.

Automated summary

In this study, the concept of Sasakian statistical manifold was extended to indefinite Sasakian statistical manifolds. The introduction of lightlike hypersurfaces in indefinite Sasakian statistical manifolds and the establishment of relationships between induced geometrical objects with dual connections were also discussed. Lastly, it was proven that an invariant lightlike submanifold in an indefinite Sasakian statistical manifold is also an indefinite Sasakian statistical manifold.